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Simplifying 0.1r + 0.05x + -300 = 105 Reorder the terms: -300 + 0.1r + 0.05x = 105 Solving -300 + 0.1r + 0.05x = 105 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '300' to each side of the equation. -300 + 0.1r + 300 + 0.05x = 105 + 300 Reorder the terms: -300 + 300 + 0.1r + 0.05x = 105 + 300 Combine like terms: -300 + 300 = 0 0 + 0.1r + 0.05x = 105 + 300 0.1r + 0.05x = 105 + 300 Combine like terms: 105 + 300 = 405 0.1r + 0.05x = 405 Add '-0.05x' to each side of the equation. 0.1r + 0.05x + -0.05x = 405 + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 0.1r + 0.00 = 405 + -0.05x 0.1r = 405 + -0.05x Divide each side by '0.1'. r = 4050 + -0.5x Simplifying r = 4050 + -0.5x
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